Basic Ability Test Basic Ability Spatial Reasoning and Visualization 2 — Questions and Answers
Question 1: A cube has 6 faces. If you unfold it into a flat cross shape, how many squares will the flat shape contain?
- 4
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
An unfolded cube (net) always contains exactly 6 squares, one for each face.
Question 2: You are facing north and turn 90° clockwise, then 180° counterclockwise. Which direction are you now facing?
- North
- South
- East
- West (Correct answer)
Correct answer: West
Facing north, turning 90° clockwise gives east, then 180° counterclockwise lands on west.
Question 3: A rectangle is 8 cm wide and 5 cm tall. If it is folded in half along its width, what are the new dimensions?
- 4 cm × 5 cm (Correct answer)
- 8 cm × 2.5 cm
- 4 cm × 10 cm
- 2 cm × 5 cm
Correct answer: 4 cm × 5 cm
Folding along the width halves the 8 cm side, giving 4 cm × 5 cm.
Question 4: Which 3D shape has exactly 5 faces, 8 edges, and 5 vertices?
- Triangular prism
- Square pyramid (Correct answer)
- Cube
- Tetrahedron
Correct answer: Square pyramid
A square pyramid has 1 square base + 4 triangular faces = 5 faces, 8 edges, and 5 vertices.
Question 5: A shape is reflected across a vertical line. The original has its point facing right. Where does the point face after reflection?
- Right
- Left (Correct answer)
- Up
- Down
Correct answer: Left
A vertical reflection flips left and right, so a rightward point becomes a leftward point.
Question 6: If a clock's minute hand points to the 9 and the hour hand points to the 3, what is the angle between them?
- 90°
- 120°
- 150°
- 180° (Correct answer)
Correct answer: 180°
The 9 and 3 are directly opposite each other on the clock face, forming a 180° angle.
Question 7: A box is 3 ft long, 2 ft wide, and 2 ft tall. How many 1-cubic-foot blocks fit inside it?
- 7
- 10
- 12 (Correct answer)
- 14
Correct answer: 12
Volume = 3 × 2 × 2 = 12 cubic feet, so 12 blocks fit.
Basic Ability Test Basic Ability Spatial Reasoning and Visualization 2
A cube has 6 faces.
If you unfold it into a flat cross shape, how many squares will the flat shape contain?